Angular speed and revolutions question.

AI Thread Summary
The discussion revolves around a problem related to angular speed and revolutions, specifically focusing on question 22, which poses a challenge for the participants. The initial approach of setting dtheta/dt to 0 is deemed incorrect, indicating a misunderstanding of the problem's requirements. Participants suggest setting up a definite integral with appropriate limits to solve for the time when the wheel comes to rest. This highlights the importance of correctly interpreting the problem and using the right mathematical tools. The conversation emphasizes the need for a different approach to reach a solution.
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I've attached the problem as an image. I solved 20 and 21 very easily. For 22, my obvious instinct was to set dtheta/dt to 0, but that's an unsolvable equation. I'm obviously missing something key in solving 22. What is it?
 

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obviously, your obvious instinct is not pointing you to the right direction...

Try to set up a definite integral with appropiate limit... (what is time t equal to when the wheel coming to rest?)
 
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